Cayley graphs provide a powerful and intuitive framework linking group theory with graph theory by representing groups through vertices and edges defined by a generating set. In the realm of finite ...

The Journal of the American Mathematical Society, begun in 1988, is published quarterly. It contains research articles of the highest quality in all areas of pure and applied mathematics. Publisher ...

A research team of mathematicians and computer scientists has used machine learning to reveal new mathematical structure within the theory of finite groups. By training neural networks to recognise ...

We classify the sequences $\langle S_n \mid n \in \mathbb{N}\rangle$ of finite simple nonabelian groups such that Πn Sn has uncountable cofinality. Journal Information This monthly journal, published ...

The original version of this story appeared in Quanta Magazine. Mathematics started with numbers—clear, concrete, intuitive. Over the last two centuries, however, it has become a far more abstract ...

PASADENA – Michael Aschbacher, the Shaler Arthur Hanisch Professor of Mathematics at Caltech, will share the 2012 Wolf Prize in mathematics, Caltech officials announced Wednesday. The $100,000 award ...

A new set of puzzles inspired by Rubik's Cube offers puzzle lovers the chance to get acquainted with the secret twists and turns of mathematical entities called sporadic simple groups Editor's Note: ...